3/8 of the people at a funfair were children. 3/4 of the remaining people were men. there were 140 more children than women. how many people went to the funfair?

X = total people
3/8x are childrenthat leaves 5/8 remaining...
3/4 of remaining are men...3/4(5/8) = 15/32x are men
1/4 of remaining are women1/4(5/8) = 5/32x are women

140 more women then children...so children - 140 = women
3/8x - 140 = 5/32x
3/8x - 5/32x = 140
12/32x - 5/32x = 140
7/32x = 140
x = 140 * 32/7
x = 4480/7
x = 640

total people is 640 <===
children : 3/8(640) = 240
men : 15/32(640) = 300
women : 5/32(640) = 100